Answer:
It's A
Step-by-step explanation:
I took da quiz
Blake ate 2/6 of a pumpkin pie and give 3/6 of the pie to his sister. What fraction of the pumpkin pie was left?
Final answer:
After Blake ate 2/6 of a pumpkin pie and gave another 3/6 to his sister, the fraction of the pie that was left is calculated by subtracting the total part taken away (5/6) from the whole pie (1), resulting in 1/6 of the pie remaining.
Explanation:
The question asks about determining the fraction of a pumpkin pie left after Blake ate 2/6 of it and gave another 3/6 to his sister. To calculate the remaining portion of the pie, we add the fractions that were eaten and given away, and subtract that sum from the whole pie, which is represented as 1 (or 6/6, since we are working with sixths).
2/6 (eaten by Blake) + 3/6 (given to his sister) = 5/6. This means 5/6 of the pie was either eaten or given away.
To find the fraction of the pie that was left, we subtract the portion that is gone from the whole. Since 5/6 of the pie was no longer available, subtracting this from 1 (the whole pie) gives us 1 - (5/6) = 1/6. Therefore, 1/6 of the pumpkin pie was left.
i need help look at the pic
I’m assuming it’s 15
Answer: 30
Step-by-step explanation: First of all, you need to know that the angle at hand is a right angle which measures up to 90 degrees. Knowing this, subtracting 90-30 will give you the result of 60 which is the measure of the unknown angle. Now, you know that 60=2x, so divide both sides by 2 and you get 30=x.
Also, this isn't part of the answer, but can you tell me how you added the pic?
See the screen shot below. Can anyone help me with this one
Answer:
Top one
Step-by-step explanation:
turn b² into a fraction of h, so b2h/h
For this case we have the following equation to find [tex]b_ {1}[/tex]
[tex]b_ {1} = \frac {2A} {h} -b_ {2}\\\\[/tex]
If we want to find an equivalent equation, we do the following:
[tex]\frac{2A}{h}-b_{2}=\frac{2A*1-b_{2}*h}{h}=\frac{2A-b_{2}h}{h}\\\\[/tex]
So, we have to:
[tex]b_ {1} = \frac {2A} {h} -b_ {2} = \frac {2A-b_ {2} h} {h}\\[/tex]
Answer:
Option A
what is the MAD for 11.2 9.9 10.4 10.5 11.0 9.9 10.2 10.6 11.1 10.6
The MAD for this set of number is 0.36
Simplify the expression. Write your answer as a power.
(−5/7)^8⋅(−5/7)^9
Answer: [tex](-\frac{5}{7})^{17}[/tex]
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:
[tex](b^a)(b^c)=b^{(a+c)[/tex]
Where b is the base and a and c are exponents.
Then simplify it by rewriting the base ([tex]-\frac{5}{7}[/tex]) and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:
[tex](-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}[/tex]
Final answer:
To simplify the expression [tex](- 5/7)^8\times (- 5/7)^9[/tex], add the exponents of the same base to get [tex](-5/7)^{17}[/tex], which is the simplified expression written as a power.
Explanation:
To simplify the expression and write the answer as a power when you have [tex](- 5/7)^8\times (- 5/7)^9[/tex], you can use the property of exponents that states when you multiply expressions with the same base, you add their exponents.
This means the simplified expression will be [tex](- 5/7)^8[/tex]+9, which equals [tex](-5/7)^{17}[/tex]. The negative base raised to an odd power remains negative, resulting in a negative final answer.
the Smith wants to buy a new computer. The regular price is $765 .The store is offering a 30% discount and the sales tax of 6% is added after the discount. What is the final cost of the TV
Answer:
567.63
Step-by-step explanation:
To find the discount, take the original price times the discount percent
discount = 765*30%
= 765 *.3
=229.5
The new price is the original price minus the discount
new price =765-229.5
=535.50
Now we need to find the tax. Tax is the new price times the tax rate
tax =535.5 * 6%
535.5*.06
32.13
To find the final price. we add the tax to the new price
final price = new price + tax
=535.5+32.13
567.63
Which of the following expressions are equivalent to (x + y) - z
Choose all answers that apply:
A. z + (x + y)
B. x + (y − z)
C. None of the above
Final answer:
Option B: x + (y - z) is equivalent to the given expression (x + y) - z, applying the principles of associativity of addition and subtraction.
Explanation:
The question asks which of the given expressions are equivalent to (x + y) - z. To find the equivalent expressions, we need to apply the principles of commutativity and associativity of addition and subtraction.
Option A: z + (x + y) is not equivalent because the order of operations affects the result due to the subtraction of z. By combining z at the beginning, it implies adding before subtracting z, which alters the outcome unless z is explicitly negated.
Option B: x + (y - z) is equivalent. You can alter the grouping of addition due to associativity (x + y) - z = x + (y - z). Subtracting z directly from y before adding to x does not change the result.
Option C: None of the above is incorrect because Option B is indeed equivalent to the original expression.
Therefore, the expression that is equivalent to (x + y) - z is Option B: x + (y - z).
Cassie plays a bass drum that has a radius of 3 inches. What is the drum's circumference? Use 3.14 for .
Circumference is 2 times the radius times PI.
2 x 3 = 6
6 x 3.14 = 18.84
The circumference is 18.84 inches.
Solve the equation.
20 = –d + 16
Answer:
d = -4Step-by-step explanation:
20 = -d + 16 subtract 16 from both sides
20 - 16 = -d + 16 - 16
4 = -d change the signs
-4 = d ⇒ d = -4
If the markup is 80% and the selling price is $21.60, what is the cost to the store?
Answer:
$12
Step-by-step explanation:
Let p be the store's cost (cost to buy the product wholesale).
Then the selling price is p + markup, or
p + 0.80p = 1.80 p
and this comes to $21.60.
Dividing $21.60 by 1.80 results in p = $12.
The cost to the store is $12.
find (f o f) (3) . f(x)= x^2-x
Answer:
(f º f)(3) = 30, when f(x) = x² - x
Step-by-step explanation:
This is a great example of composite functions and how to multiply one function by another. (f º f) really means f(f(x)), or replacing every x in the original function f(x) with the function f(x).
Step 1: State the original function.
[tex]f(x) = x^{2} -x[/tex]
Step 2: Insert the function f(x) wherever there is an x.
[tex]f(f(x))=(x^{2} -x)^{2} -(x^2-x)[/tex]
Step 3: Expand anything that has an exponent. Remember: [tex](x+y)^2 = (x+y)(x+y)[/tex]
[tex]f(f(x))=(x^{2} -x)(x^{2} -x) -(x^2-x)[/tex]
Step 4: Foil the parts of the equations in brackets by multiplying the first terms, outside terms, inside terms and last terms in each bracket.
[tex]f(f(x))=(x^{4}-x^3-x^3+x^{2}) -(x^2-x)[/tex]
Step 5: Now you can remove the brackets (don'f forget to switch the symbols for the second brackets because you are subtracting) and sum the like terms.
[tex]f(f(x))=x^{4}-x^3-x^3+x^{2} -x^2+x[/tex]
[tex]f(f(x))=x^{4}-2x^3+x[/tex]
Step 6: Finally, substitute the given x value, which is 3, into the new equation.
[tex]f(f(x))=(3)^{4}-2(3)^3+(3)[/tex]
[tex]f(f(x))=81-54+3[/tex]
[tex]f(f(x))=30[/tex]
Therefore the answer is (f º f)(3) = 30.
Answer:
30
Step-by-step explanation:
Method 1:
ƒ(x) = x² - x
(f∘f)(x) = f(f(x)) = f(x²-x) = (x² - x)² - (x² - x) = x⁴ - 2x³ + x² - x² + x = x⁴ - 2x³ + x
(f∘f)(3) = 3⁴ - 2(3)³ + 3 = 81 - 54 + 3 = 30
Method 2:
f(3) = 3² - 3 = 9 - 3 = 6
(f∘f)(3) = f(f(3)) = f(6) = 6² - 6 = 36 - 6 = 30
What is the m∠ABC? m∠ABC = 15° m∠ABC = 45° m∠ABC = 60° m∠ABC = 75
Answer:
60 is c not d
Step-by-step explanation:
Answer:
c. m∠ABC = 60°
Step-by-step explanation:
E2020
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is d if C C' = 12 and d' = 0.50?
Answer:
I think the D equals one (1) based on the info i was given
Step-by-step explanation:
Answer:
d = 6 units
Step-by-step explanation:
Circumference of the circle is given by:
[tex]C = \pi d[/tex]
where, d is the diameter of the circle.
As per the statement:
Given a circle 1 with measures of (C, d, and r) and a circle 2 with measures of (C', d', and r').
Circumference of a circle(C) 1 with diameter(d) is given by:
[tex]C = \pi d[/tex] .....[1]
Also, the circumference of a circle (C') 2 with diameter(d') is given as:
[tex]C' = \pi d'[/tex]
Divide equation [1] and [2] we have;
[tex]\frac{C}{C'} = \frac{\pi d}{\pi d'}[/tex]
⇒[tex]\frac{C}{C'} = \frac{d}{d'}[/tex]
Substitute the given values [tex]\frac{C}{C'}=12[/tex] and d' = 0.50 then;
[tex]12 = \frac{d}{0.50}[/tex]
Multiply both sides by 0.50 we have;
6 = d
or
d = 6 units
Therefore, the value of d is, 6 units
What is the exponential regression equation that fits these data?
Answer:
The answer is A (APEX)
Answer:
Step-by-step explanation:
Given is table of x,y as follows:
x y
1 4
2 8
3 27
4 85
5 250
6 600
The nearest seems to be from
y = 1.24(2.84)^x
Solve the equation 0.5p-3.45=-1.2
Simplifying
0.5p + -3.45 = -1.2
Reorder the terms:
-3.45 + 0.5p = -1.2
Solving
-3.45 + 0.5p = -1.2
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '3.45' to each side of the equation.
-3.45 + 3.45 + 0.5p = -1.2 + 3.45
Combine like terms: -3.45 + 3.45 = 0.00
0.00 + 0.5p = -1.2 + 3.45
0.5p = -1.2 + 3.45
Combine like terms: -1.2 + 3.45 = 2.25
0.5p = 2.25
Divide each side by '0.5'.
p = 4.5
Simplifying
p = 4.5
The value of p from the given equation is 4.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 0.5p-3.45=-1.2
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
0.5p-3.45=-1.2
0.5p= -1.2+3.45
0.5p= 2.25
p= 2.25/0.5
p= 4.5
Therefore, the value of p is 4.5.
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Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
no, because the probability of choosing a yellow slip is not equal to the probability of choosing a yellow slip given an odd number
no, because the probability of choosing an odd number is not equal to the probability of choosing an odd number on a yellow slip
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
yes, because the probability of choosing an odd number on a yellow slip of paper is equal to the probability of choosing an odd number
Answer:
The correct answer option is: Yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow .
Step-by-step explanation:
We are given that Elias writes the numbers 1 through 20 on separate slips of paper.
Given that there are 16 white slips and four yellow slips and eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips, we can conclude that the events are odd and yellow independent because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow .
Answer:
c
Step-by-step explanation:
Lin is a camp counselor. She is making small bags of trail mix for campers to take on a hike . She has 2 pounds of raisins and is putting 1/8 pound in each bag . How many bags can she fill before she runs out of raisins ?
Answer:
16 bags
Step-by-step explanation:
To find this, we divide 2 over 1/8, to see how many units of 1/8 fits into that of 2.
[tex]\frac{2}{\frac{1}{8} }[/tex] can be rewritten as 2*8. 2*8 = 16 bags.
Answer:
16 bags
Step-by-step explanation:
We are given that Lin is making small bags of trail mix for campers and has 2 pounds of raisins.
If she puts 1/8 pound in each bag, we need to find out how many bags can she fill before she runs out of raisins.
To find this, we just need to divide the pounds of raisins by the amount of raisins she is putting in each bag.
Number of bags Lin can fill = [tex]\frac{2}{\frac{1}{8} }[/tex] = 16
For what values of a are the following expressions true?|a+5| =5+a
Answer:
[tex]a\geq -5[/tex]
The ball game begins at 2:00 p.m it takes ying 30 minutes to get to the ball park . At what time should ying leave home to get to the game before 30 minutes before it starts
Answer:
30 Mintues to get there + 30 Mintues early = 1 hour
2:00 PM - 1 hour = 1 PM
Step-by-step explanation:
A regular- size cereal box is shaped like a rectangular prism. The length of the Box in 8 inches and the width is 2 inches. The volume of the box is 176 cubic inches. A family size cereal box has double the volume of the regular- size box, with the same height and width. What is the length of the family- size cereal box?
Answer:
L: 8in W: 2in H: 22in
Step-by-step explanation:
-4.1x^2+0.9x-9.8 + 1.7x^2-2.4x-1.6
The answer is −2.4x2−1.5x−11.4
Step-by-step explanation:Let's simplify step-by-step.
−4.1x2+0.9x−9.8+1.7x2−2.4x−1.6
=−4.1x2+0.9x+−9.8+1.7x2+−2.4x+−1.6
Combine Like Terms:
=−4.1x2+0.9x+−9.8+1.7x2+−2.4x+−1.6
=(−4.1x2+1.7x2)+(0.9x+−2.4x)+(−9.8+−1.6)
=−2.4x2+−1.5x+−11.4
Can somebody help me this is my last one
Answer:
The value of x is 13
Step-by-step explanation:
* Lets study the to circles
- The are congruent
- The length of chord TS equal to the length of chord UV
- The measure of the minor arc TS equal to the measure
of minor arc UV
- The measure of the major arc TS equal to the measure
of major arc UV
* We now that the measure of any circle = 360°
∴ The sum of the measure of the minor arc and the measure
of the major arc equal to 360°
* In circle Q:
∵ The measure of the major arc UV is 22x - 13°
∵ The measure of the minor arc UV is 10x - 43° ⇒ circle R ≅ circle Q
∵ The sum of the measure of the two arcs = 360°
∴ 22x - 13 + 10x - 43 = 360 ⇒ add the like terms
∴ 32x - 56 = 360 ⇒ add 56 to both sides
∴ 32x = 416 ⇒ divide both sides by 32
∴ x = 13
* The value of x is 13
Which expresion is equivalent to 8x -2y+x+x
Answer:
10x - 2yStep-by-step explanation:
8x - 2y + x + x combine like terms
= (8x + x + x) - 2y
= 10x - 2y
Mai biked 6 3/4 miles today, and Noah biked 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride ?
Answer:
1.5 times.Step-by-step explanation:
Givens:
Mai biked [tex]6\frac{3}{4} \ mi[/tex]Noah biked [tex]4\frac{1}{2} \ mi[/tex]So, to know how many times the length of Noah's bike ride was Mai's bike ride, we can use the following equation:
[tex]6\frac{3}{4} \ mi=x(4\frac{1}{2} \ mi)\\\frac{27}{4}=\frac{9}{2}x\\ x=\frac{54}{36}=\frac{3}{2}=1.5[/tex]
Therefore, Mai biked 1.5 times more miles than Noah.
1.5 times the length of Noah’s bike ride was Mai’s bike ride.
Step-by-step explanation:
Given :
Mai Biked -
[tex]\rm 6\dfrac{3}{4} \; miles = \dfrac {27}{4} \; miles[/tex]
Noah Biked -
[tex]\rm 4\dfrac {1}{2} \; miles = \dfrac {9}{2} \; miles[/tex]
Calculation :
To find how many times the length of Noah’s bike ride was Mai’s bike ride, use below equation
[tex]\dfrac{27}{4}=x\dfrac{9}{2}[/tex]
[tex]\rm x = 1.5 \; times[/tex]
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a -------- of a number is that number times any whole number
Answer:
quotient
Step-by-step explanation:
A multiple of a number refers to the product of that number and any whole number. When a number is multiplied by itself, it's referred to as exponentiation where the number being multiplied is the base, and the times it is multiplied is the exponent.
Explanation:The student's question seems to be about the concept of multiplication in Math. A multiple of a number refers to the result of multiplying a number by any whole number. This is basically the process of addition repeated. For instance, the multiples of 3 include 3 (3x1), 6 (3x2), 9 (3x3), etc.
When a number is multiplied by itself a certain number of times, this takes on a different meaning. This operation is called exponentiation, where the number that is being multiplied is the base, and the number of times it's being multiplied is the exponent. For instance, 32 means 3 is being multiplied by itself 2 times (3 x 3), which equals 9. If we say 53, that means 5 is being multiplied by itself 3 times (5 x 5 x 5), which equals 125.
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What are the center and radius of a circle with standard form equation (x+3) square + (y+8) square =6
Answer:
centre = (- 3, - 8), radius = [tex]\sqrt{6}[/tex]
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 3)² + (y + 8)² = 6 ← is in standard form
with centre = (- 3, - 8) and r = [tex]\sqrt{6}[/tex]
Planes A and B intersect.
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
I think line k I'm not sure
Answer:
Point X is the correct answer.
Step-by-step explanation:
The point X is on the line M in plane A
a circle is centered O (0,0) and has the radius 3.46410161514 where does poing M (-3,2) lie
The circle area can be defined as x2 + y2 < 3.46^2.
For point M, x2 + y2 = 13.
Since 3.46^2 is about 12, point M is outside the circle!
Answer:
outside the circle
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius = 3.46410161514, hence
x² + y² = 3.46410161514²
x² + y² = 12 ← equation of circle
To determine where a point (x, y) lies
• If x² + y² < r² then point is inside the circle
• If x² + y² = r² then point lies on the circle
• If x² + y² > r² then point lies outside the circle
For (- 3, 2)
(- 3)² + 2² = 9 + 4 = 13 > 12
Hence point (- 3, 2) lies outside the circle
What is the median of the following set of data 28,45,12,34,36,19,20
Answer:
28
hope this helps
Answer:
34 is the median of the following data set.
Step-by-step explanation:
We have given a data set of values.
28,45,12,34,36,19,20
We have to find median of the given data set.
Median is defined as the middle value of the ordered data set.
Putting given data set in order , we have
12,19,20,28,34,36,45
Hence, the middle value is 28.
So, median is 34 for given data set.
Find last years salary if after 3% pay raise, this years salary is $34505
Answer:
$34,505
s = --------------- = $33,500
1.03
Step-by-step explanation:
Last year's salary was 1.00 s.
A 3% pay raise would thus amount to 0.03s.
This would equal this year's salary: $34,505.
Thus, 1.03s = $34,505; find s, which was last year's salary.
Dividing both sides by 1.03, we get:
$34,505
s = --------------- = $33,500
1.03